218k views
3 votes
A cereal company believes more than 1.5% of their packages are too damaged to sell. A random study of 100 boxes finds that 2 are damaged to this point. In this study, the test statistic is Z=. and the observed significance of the test is?

User HanSooloo
by
8.6k points

1 Answer

1 vote

Final answer:

In this hypothesis test problem, we are testing whether the proportion of damaged packages is greater than 1.5%. We can use the normal distribution to perform the test by calculating the test statistic Z and comparing it to the critical value. If Z is greater than the critical value, we reject the null hypothesis.

Step-by-step explanation:

The given problem is a hypothesis test problem where we are testing whether the proportion of damaged packages is greater than 1.5%. We can use the normal distribution to perform the hypothesis test. The test statistic Z is calculated by subtracting the hypothesized proportion (1.5%) from the observed proportion (2 damaged boxes out of 100) and dividing by the standard error.

Z = (p - P) / √(P(1-P)/n)

We can then compare the test statistic Z to the critical value to determine the observed significance of the test. If Z is greater than the critical value, we reject the null hypothesis.

User Paul Hatcher
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories